Dam break flow computation based on an efficient flux vector splitting

DOI10.1016/J.CAM.2009.08.110zbMath1402.76079OpenAlexW2030888441MaRDI QIDQ984943

Michel Pirotton, Sébastien Erpicum, Benjamin J. Dewals, Pierre Archambeau

Publication date: 20 July 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.110

zbMATH Keywords

flux vector splittingshallow-water equationsdam break flow

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (7)

Modelling the impact of dam failure scenarios on flood inundation using SPH ⋮ Discretization of multidimensional mathematical equations of dam break phenomena using a novel approach of finite volume method ⋮ Unnamed Item ⋮ Numerical modelling of free-surface shallow flows over irregular topography with complex geometry ⋮ Discretization of the divergence formulation of the bed slope term in the shallow-water equations and consequences in terms of energy balance ⋮ Numerical scheme for solving a porous Saint-Venant type model for water flow on vegetated hillslopes ⋮ Well-balanced central schemes for two-dimensional systems of shallow water equations with wet and dry states

Cites Work

• 2D numerical flow modeling in a macro-rough channel
• Flux difference splitting for 1D open channel flow equations
• A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
• Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes

This page was built for publication: Dam break flow computation based on an efficient flux vector splitting